Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Answers

Answer 1

Answer:

Yes, because both figures are rectangles and all rectangles are similar (B)

Question:

The complete question related to this found at brainly (question Id: 2996738) is stated below:

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

a. Yes, because corresponding sides are parallel and have lengths in the ratio 1/4

b. Yes, because both figures are rectangles and all rectangles are similar.

c. No, because the center of dilation is not at (0, 0).

d. No, because corresponding sides have different slopes

Step-by-step explanation:

Coordinates of rectangle EFGH

E (-4,4), F(4,4), G(-4,0), H (4,0)

EF = 8

FG =4

GH= 8

HE= 4

Coordinates of rectangle ABCD

A (-3,3), B(3,3), C(-3,0), D (3,0)

AB = 6

BC = 3

CD = 6

DA = 3

Find attached the diagram.

Image = EFGH, pre-image = ABCD

Scale factor = (sides of the image)/(sides of the pre-image)

= 8/6 = 4/3

Similar shapes have same shapes but different sizes. From the result obtained, the two shapes are similar with different sizes.

Rectangle EFGH is the result of a dilation of rectangle ABCD with a center of dilation at the origin.

Reason: the lines connecting the coordinates of both shapes meet at the origin. And also both figures are rectangles and all rectangles are similar (B)

 Is Rectangle EFGH The Result Of A Dilation Of Rectangle ABCD With A Center Of Dilation At The Origin?

Related Questions

use the elimination method to solve 4x+8y=16 4x-8y=0

Answers

Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

URGENT! WILL GIVE BRAINLIEST!! The graph shows the data of texting speed according to time.A graph has time (minutes) on the x-axis and texting speed (words per minute) on the y-axis. Points are at (1, 14), (1, 18), (2, 10), (2, 15), (2, 17), (3, 14), (4, 10), (4, 15), (5, 6), and (5, 10).Use the scatter plot to determine if there is a relationship. If there is a relationship, explain it.Yes, there is a relationship. As time increases, texting speed increases.Yes, there is a relationship. As time increases, texting speed decreases.Yes, there is a relationship. As texting speed increases, time increases.No, there is no relationship displayed.

Answers

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

What is a scatter plot?

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.


Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

Learn more about Scatter Plot:

https://brainly.com/question/13984412

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if BPD and dpc have a sum
of 72 degrees What is APC?



A. 18°
B 90°
D.180°​

Answers

The correct answer is : 108

Find the volume of the prism.
13ft 7ft

Answers

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What is the probability that lana will select a green marble first, replace the marble, then select a red marble

Answers

Answer:

3/20

Step-by-step explanation:

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( green) = green/total = 5/10 = 1/2

Replace

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( red) = red/total = 3/10

P(green,replace, red) = 1/2 * 3/10 = 3/20

I need mega help I can't get it wrong

Answers

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)

Answers

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

Factorize the following :- 12y²_20y+3​

Answers

Answer:

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Step-by-step explanation:

[tex]12y^2-20y+3[/tex]

-20y can be written as -2y + -18y.

[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]

Factor out 2y from the first expression and factor out 3 from the second expression.

[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]

Factor out the common term 6y-1.

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

HELP!!!!!! PLZZZ!!!!!HELPPPP

Answers

Answer:

x=10

Step-by-step explanation:

set it up and solve

2x-1=x+9

2x=x+10

x=10

What is the percent of 3.16 to 3.70

Answers

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.

Answers

Answer:

AD :  DC is 2:3

Step-by-step explanation:

The parameters given are;

Point B ∈ AC

AB : BC = 2:1

Point D ∈ AB

AD : DB = 3:2

Therefore, whereby we sum the ratios, we have;

For AC

AB = 2/(2+1)×AC = 2/3×AC

BC = 1/3×AC

For AB

AD = 3/(3+2)×AB = 3/5×AB

DB = 2/5×AB

We are required to find AD:DC

Given that AD = 3/5×AB and AB =  2/3×AC

We have;

AD = 3/5×2/3×AC = 6/15 AC

DC = DB + BC =  2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC

DC = 3/5×AC

AD :  DC = 6/15 AC : 3/5×AC = 2:3.

Beverly has $50 to spend at an amusement park. She plans to spend $10 for food, and $15 for admission to the park. Each ride costs $1.50 to ride.

Answers

50=10+15+1.5x
50=25+1.5
25=1.5x
x=16.66666666666666

Answer:

a b c d e f g h i j k l m o n p q r s t u v w x y z n o w i k n o w m y a b c s n e x t t i m e w o n t y o u s i n g w i t h m e

Step-by-step explanation:

cocomelon

The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:

A)205 lbs

B)250 lbs.

C)247 lbs.

D)None of these choices are correct.

Answers

The correct answer is: C. 247

Add all of the weights

215 + 225 + 285 + 260 + 250 = 1235

Divide the total weight by the number of weights given


1235/5 = 247

factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression... ​

Answers

Answer:

(3+2m)(3-2m)

Step-by-step explanation:

(3+2m)(3-2m)

0.000000205
In standard form

Answers

Answer:

2.05 × 10⁷

Step-by-step explanation:

0.000000205

We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :

=> 2.05 × 10⁷

Answer:

205 × [tex]10^{-9}[/tex]

Step-by-step explanation:

[tex]10^{-9} = 0.000000001[/tex]

0.000000001 × 205 = 0.000000205

What is the product?
3 x [1 -4 5 -7]

Answers

This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.

Doing so leads to the answer [3   -12    15    -21]

Side note: I'm assuming the matrix given to you has 1 row and 4 columns.

Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?

Answers

Answer:

i think 9.8 but im not sure

Step-by-step explanation:

The distance between points M and N is; 9.8 meters.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.

Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:

NM/19.6 = 7.4/(2×7.4)

Solving;

NM = 19.6/2

NM=  9.8 meters.

This follows that, the ratio of corresponding sides of congruent triangles are equal.

The distance between points M and N is; 9.8 meters.

Read more on congruent triangles;

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Can anyone help me with this answer:
One of the zeroes of the polynomial 2x2 + 7x –4 is
(A) 2
(B)1/2
(C) -1/2
(D) –2

Answers

Answer:

Option B

Step-by-step explanation:

For this we'll put all of these options in place of x

Number 1:

=> [tex]2(2)^2+7(2)-4[/tex]

=> 2(4)+14-4

=> 8+10

=> 18

So, This is not the zero of the polynomial

Number 2:

=> [tex]2(1/2)^2+7(1/2)-4[/tex]

=> 2(1/4)+7/2-4

=> 1/2+7/2-4

=> [tex]\frac{1+7-8}{2}[/tex]

=> [tex]\frac{8-8}{2}[/tex]

=> 0

Yes, This is the zero of the polynomial having zero as an answer

So, We'll end the solution here because we have found the zero of the polynomial.

Hope this helps :)

This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box

Answers

Answer:

Area = 14.8 units²

Step-by-step explanation:

Base of Triangle = 2 units

Height of Triangle = 5 units

Radius of the semi circle = 2.5 units

Now,

Triangle:

Area of triangle = 1/2(base*height)

Area = 1/2(2*5)

Area = 1/2(10)

Area = 5 units²

Semi-Circle:

Area of semi-circle = 1/2(πr²)

Area = 1/2(3.14)(2.5)²

Area = 1/2(3.14)(6.25)

Area = 9.8 units²

Area of the figure:

Area = 5 + 9.8

Area = 14.8 units²

I NEED HELP PLEASE, THANKS SO MUCH! :)

Answers

Answer:

Option B

Step-by-step explanation:

Vertical x= -5, x= -3, Horizontal y=3x-4 (slant)

Pls help as fast as possible

Answers

Answer:

452.389342 cubic inches

Step-by-step explanation:

The volume of a sphere is calculated using the formula V = 4/3 pi r^3

to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.

from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.

Note that this is only the volume of 1 sphere, so we multiply by 4

and we get 452.389342 cubic inches

Answer:

452.4

Step-by-step explanation:

Radius of each sphere: 24/4/2=3

Formula for volume: (4pir^3)/3

Formula for 4 spheres: 4 times (4pir^3)/3

Substitute 3 for r

does anyone know this??

complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42

Answers

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

Please help me :( struggling

Answers

C. exponential decay

C. exponential decay

What is 3+3/-4+6-34+9

Answers

ANSWER:

The answer is -16.75  

First divide the division 3/-4 then start the addition and subtraction

Answer:

-67/4 or -16.75

Step-by-step explanation:

Simply plug all of that into the calc and you should get your answer.

Nikolas and his son, and Peter with his son, went fishing. Nickolas caught as many fish as did his son. Peter caught three times as many as his son did. Altogether they caught 35 fish. Nikolas' son's name is Gregory. What is the name of Peter's son? How many fish did each of them catch?

Answers

Step-by-step explanation:

4unit is 35

1unit is 35/4 which is 8.75

Check all that apply in regards to the given sequence:
5, 8, 11, 14, 17, 20, 23, ...

Answers

Answer:

see explanation

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3

This indicates the sequence is arithmetic

The common difference d = 3

The first term a₁ = 5 and

a₈ = 23 + 3 = 26

Common difference is 3

3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me

Answers

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

What is an equation in point-slope form of the line that passes through (1, -6) and (4, 6)?

Answers

Answer:

[tex]y+6=4(x-1)[/tex] or [tex]y-6=4(x-4)[/tex]

Step-by-step explanation:

We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).

Recall that point-slope form is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope.

Find the slope m using the two given points.

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4[/tex]

Substitute. We can use either point. Using the point (1, -6), we acquire:

[tex]y-(-6)=4(x-(1))[/tex]

Simplify:

[tex]y+6=4(x-1)[/tex]

And using the point (4, 6), we acquire:

[tex]y-(6)=4(x-(4))[/tex]

Simplify:

[tex]y-6=4(x-4)[/tex]

Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's 90% likely to ask hem
to a party. However, he's only 60% likely to ask her over the phone.
This is the tree diagram that represents the probability of Thomas inviting Madeline to a party.

What is the probability of Thomas inviting Madeline to the party over the phone?

Answers

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

A = Thomas bumps into Madeline at school

B = Thomas call Madeline on the phone

X = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event U given that another events V has already occurred is:

[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]

The law of total probability states that:

[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]

         [tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]

Compute the value of P (B|X) as follows:

[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]

             [tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

Answer:

84%

Step-by-step explanation:

Its the correct answer

if 25 tickets cost $50, find the cost of 1 ticket ​

Answers

Answer:

$2

[tex]solution \\ cost \: of \: 25 \: ticket = 50 \\ cost \: of \: one \: ticket = \frac{50}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2[/tex]

hope this helps..

Good luck on your assignment

$2.00

25 tickets cost 50.00 dollars.

The cost of 1 ticket would be:

50/25=2

2.00 dollars to be precise.

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